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Finding the Fourth Proportional to 307,455.77, 461,239.10 and 139,055.69

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Solution

The fourth proportional to 307,455.77, 461,239.10 and 139,055.69 is: 208,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,455.77 : 461,239.10 = 139,055.69 : x
  2. Step 2: Convert to fraction form
    307,455.77/461,239.10 = 139,055.69/x
  3. Step 3: Cross multiply
    307,455.77x = 461,239.10 × 139,055.69
  4. Step 4: Simplify right side
    307,455.77x = 64,137,921,305.48
  5. Step 5: Solve for x
    x = 64,137,921,305.48/307,455.77
  6. Step 6: Final answer
    x = 208,608.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.